Université Paris-Saclay (Espace Technologique, Bat. Discovery - RD 128 - 2e ét., 91190 Saint-Aubin - France)
Abstract : This paper addresses the problem of evaluating a subset of the range of a vector-valued function. It is based on a work by Goldsztejn and Jaulin which provides methods based on interval analysis to address this problem when the dimension of the domain and co-domain of the function are equal. This paper extends this result to vector-valued functions with domain and co-domain of different dimensions. This extension requires the knowledge of the rank of the Jacobian function on the whole domain. This leads to the sub-problem of extracting an interval sub-matrix of maximum rank from a given interval matrix. Three different techniques leading to approximate solutions of this extraction are proposed and compared.
https://hal-supelec.archives-ouvertes.fr/hal-00935773
Contributeur : Michel Kieffer
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Soumis le : vendredi 24 janvier 2014 - 09:53:40
Dernière modification le : mardi 25 septembre 2018 - 11:32:35
Document(s) archivé(s) le : jeudi 24 avril 2014 - 22:15:46
